Question

if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it?

Answer 1

Octagon

Explanation:

180(n-2)

360 exterior total

360*3=1080

1080/180=6

6+2=8

Answer 2

The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,

180(n - 2)/ n = 3(360/n)

The value of n from the equation is 8. The polygon with 8 sides is an octagon.

Answer: OCTAGON